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Byju's Answer
Standard IX
Mathematics
Trapezium
ABCD is a tra...
Question
ABCD is a trapezium with AB || CD. Find the value of
∠
BAD if
∠
A
D
C
=
60
o
.
A
60°
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B
80°
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C
100°
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D
120°
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Solution
The correct option is
D
120°
ABCD is a trapezium and AB || CD.
∠
A
D
C
=
60
∘
(
G
i
v
e
n
)
∠
A
D
C
+
∠
B
A
D
=
180
∘
(AB || CD and AD is the transversal. Hence, sum of co-interior angles are supplementary)
⇒
60
∘
+
∠
B
A
D
=
180
∘
⇒
∠
B
A
D
=
180
∘
−
60
∘
=
120
∘
Thus,
∠
B
A
D
=
120
∘
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